Precipitation of radiation belt particles induced by whistlers that are generated by atmospheric lightning discharges and propagate over L shells of 2--4.5 is considered. Using a test particle model of the whistler-particle interaction, the energy spectra and temporal profile of whistler-induced fluxes as a function of L shell are quantitative determined for a representative plasmaspheric cold plasma distribution. Results indicate that for higher energy electron precipitation (E>40 keV) thre exists an inner magnetospheric region (2<L<3) where the level of whistler-induced precipitation can be expected to be comparatively high. Implications of this finding in terms of observational results are discussed.